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In a previous paper [Phys. Rev. D 83, 113013 (2011)] we have shown that thesolar sector data (solar and KamLAND) are sensitive to the parameter theta_14,encoding the admixture of the electron neutrino with a fourth (essentially)sterile mass eigenstate. In that work we evidenced that such data prefer anon-zero value of theta_14 and that such a preference is completely degeneratewith that of non-zero theta_13. In this report we show how the evidence oftheta_13 > 0, recently emerged from global neutrino data analyses, lifts such adegeneracy and disfavors the case of sterile neutrino mixing. By excluding fromour analysis the total rate information coming from the reactor experiments weuntie our results from any assumption on their flux normalization. In this way,we establish the robust upper bound sin^2 (theta_14) < 0.04 at the 90% C.L.

An estimate of theta_14 independent of the reactor antineutrino flux determinations